Least Common Multiple of 1399 and 1406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1399 and 1406 the smallest integer that is 1966994 that is divisible by both numbers.

Least Common Multiple (LCM) of 1399 and 1406 is 1966994.

LCM(1399,1406) = 1966994

LCM of 1399 and 1406

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1399 and 1406

LCM of 1399 and 1406 is 1966994

Least common multiple can be found by multiplying the highest exponent prime factors of 1399 and 1406. First we will calculate the prime factors of 1399 and 1406.

Prime Factorization of 1399


1399 1399
1

Prime factors of 1399 are 1399. Prime factorization of 1399 in exponential form is:

1399 = 13991

Prime Factorization of 1406


2 1406
19 703
37 37
1

Prime factors of 1406 are 2, 19,37. Prime factorization of 1406 in exponential form is:

1406 = 21×191×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1399 and 1406.

LCM(1399,1406) = 21×191×371×13991
LCM(1399,1406) = 1966994

Factors of 1399

List of positive integer factors of 1399 that divides 1399 without a remainder.

1, 1399

Factors of 1406

List of positive integer factors of 1406 that divides 1406 without a remainder.

1, 2, 19, 37, 38, 74, 703, 1406

Least Common Multiple of 1399 and 1406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1399 and 1406, than apply into the LCM equation.

GCF(1399,1406) = 1
LCM(1399,1406) = ( 1399 × 1406) / 1
LCM(1399,1406) = 1966994 / 1
LCM(1399,1406) = 1966994

Properties of LCM 1399 and 1406

(i) The LCM of 1406 and 1399 is associative

LCM of 1399 and 1406 = LCM of 1406 and 1399

Related Least Common Multiples of 1399

Related Least Common Multiples of 1406

Frequently Asked Questions on LCM of 1399 and 1406

1. What is the LCM of 1399 and 1406?

Answer: LCM of 1399 and 1406 is 1966994.

2. What are the Factors of 1399?

Answer: Factors of 1399 are 1, 1399. There are 2 integers that are factors of 1399. The greatest factor of 1399 is 1399.

3. What are the Factors of 1406?

Answer: Factors of 1406 are 1, 2, 19, 37, 38, 74, 703, 1406. There are 8 integers that are factors of 1406. The greatest factor of 1406 is 1406.

4. How to Find the LCM of 1399 and 1406?

Answer:

Least Common Multiple of 1399 and 1406 = 1966994

Step 1: Find the prime factorization of 1399

1399 = 1399

Step 2: Find the prime factorization of 1406

1406 = 2 x 19 x 37

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1966994 = 2 x 19 x 37 x 1399

Step 4: Therefore, the least common multiple of 1399 and 1406 is 1966994.